The concept of relative velocity can be found the speed of the bird respecting susan v = -12 m / s. The negative sign indicates that the bird is approaching susan
given parameter
- the speeds of Susam and the bird
to find
- the relative speed between Susan and the bird
Velocity is a vector unit, therefore, in addition to magnitude, it has direction and sense, therefore, to make the sum of the same quantities, vector relations must be used
v₁ = v₂ + v₃
where v₁, v₂ and v₃ are velocity and the bold letters indicate vectors
in this case Susan and the bird go on the x axis therefore the algebra is reduced to the algebraic sum. We will assume that the positive direction is to the right of the x-axis, consequently the velocities are:
Susan v_{st} = 2 m / s
Bird v_{bt} = - 10 m / s
The relative velocity is the vector sum of the velocities of the bodies, one way to perform this sum is by using subscripts
v_{pt} = v_{ps} + v_{st}
Where v_{ps} is the speed of the bird relative to susan, v_{st} is the speed of susan relative to the ground, and v_{pt} is the speed of the bird relative to the ground.
v_{ps} = v_{pt} - v_{st}
v_{ps} = -10 - 2
v_{ps} = - 12 m / s
Using the concept of relative velocity, the velocity of the bird respecting susan v = -12 m/s can be found. The negative sign indicates that the bird is approaching susab.
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